Accession Number : ADA040140

Title :   Estimating a Proportion When Sampling From a Subpopulation.

Descriptive Note : Technical rept.,

Corporate Author : CASE WESTERN RESERVE UNIV CLEVELAND OHIO DEPT OF MATHEMATICS AND STATISTICS

Personal Author(s) : Oman,Samuel D.

Report Date : 15 APR 1977

Pagination or Media Count : 24

Abstract : The problem of estimating a population proportion when only a subpopulation may be sampled is considered. This is a simplified version of a problem which arises when testing for the association between a risk factor and a disease by analyzing contingency tables constructed from hospital data. The proportion for the subpopulation, which does not in general equal the population proportion, is expressed in terms of the population proportion and a nuisance parameter in such a way that the model is unfortunately not identifiable. A Bayesian procedure is developed which may be used, however, if one is willing to make certain assumptions about the nuisance parameter. As an illustration the procedure is used with a particular prior to obtain a posterior confidence interval for the population proportion. The coverage probabilities of the interval for various fixed values of the parameters are then evaluated. (Author)

Descriptors :   *SAMPLING, *STATISTICAL ANALYSIS, ESTIMATES, BAYES THEOREM, CONFIDENCE LIMITS, BINOMIALS, POPULATION(MATHEMATICS).

Subject Categories : STATISTICS AND PROBABILITY

Distribution Statement : APPROVED FOR PUBLIC RELEASE

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